Solution 4.4:1b
From Förberedande kurs i matematik 1
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- | + | The easiest angle to find is <math>v = \pi/3</math> in the first quadrant. When we draw the unit circle, we see that the angle which makes the same angle with the positive ''x''-axis as <math>v=\pi/3</math>, but is under the ''x''-axis, also has a cosine value of 1/2 (same ''x''-coordinate). | |
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- | + | [[Image:4_4_1_b.gif|center]] | |
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+ | There are thus two angles, <math>v=\pi/3</math> and <math>v=2\pi - \pi/3 = 5\pi/3</math> which have their cosine value equal to 1/2. |
Current revision
The easiest angle to find is \displaystyle v = \pi/3 in the first quadrant. When we draw the unit circle, we see that the angle which makes the same angle with the positive x-axis as \displaystyle v=\pi/3, but is under the x-axis, also has a cosine value of 1/2 (same x-coordinate).
There are thus two angles, \displaystyle v=\pi/3 and \displaystyle v=2\pi - \pi/3 = 5\pi/3 which have their cosine value equal to 1/2.